In How Many Ways Can A Traveler Go To City C From City A Throught City B If There Are Three Roads From A To B And Six Roads From B To C

in how many ways can a traveler go to city C from city A throught city B if there are three roads from A to B and six roads from B to C

Answer:

18 ways

Computation:

Given,

\left\begin{array}{ccc}City\:A\:\to\:B:&3\:roads\\City\:B\to\:C:&6\:roads\end{array}\right

Solving for the number of ways the traveler can go to City C from City A through City B by fundamental counting principle. Multiply the number of roads from City A to B by the number roads from City B to C.

3\times6=\boxed{18\:ways}


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